%I
%S 1,5,15,41,107,276,708,1811,4629,11827,30214,77182,197159,503632,
%T 1286495,3286264,8394533,21443246,54775263,139919550,357414628,
%U 912990471,2332169791,5957363305,15217664544,38872451165,99296935817
%N a(n+1) is smallest number with a(n+1)^n > (a(n)+1)^(n+1), with a(1)=1.
%C Also a(n+1) = floor( (a(n)+1)^(1+1/n) ) + 1; compare A080869.
%F a(n) = floor(x^n)1, where x=2.554429495392724...
%e Given a(4)=41, then a(5)=107 because 107^4 > (41+1)^5.
%Y Cf. A059923, A080869.
%K nonn
%O 1,2
%A _Paul D. Hanna_, Feb 21 2003
